That prodding and poking goes ignored, but it's only due to knowing Bulma wasn't really angry at him over this. Maybe annoyed or having a need to win this, but not really angry. He knew what she was like when she was actually angry... "Don't you start with that! That's not what this is about and you know it!" Sorry Yondu, you're going ignored for now. Maybe for the best actually. "You just want an excuse to show off and get people's attention on you!" Vegeta doesn't say this as if it's a bad thing, just that it was a matter of fact. His wife loved having attention and praise showered on her, Vegeta knew this too well. He's happy enough for her to be like this, just without dragging him into the limelight as well.

"Why am I even discussing this with you," Yes, this is still considered 'discussing', not yelling or fighting. "You're drunk." Would she even remember this tomorrow?